Fermi Liquid and Non-Fermi Liquid in Anderson Lattice

Abstract

We investigate electronic states in M-channel Anderson lattice model using expansion from the limit of large spin-orbital degeneracy N (1/N-expansion). Inclusion of the self-energy in O(N⁰) leads to heavy electrons with degeneracy of channel and spin-orbit. Then we include higher order terms in power of 1/N. What we find are: in the single channel case, we show that the imaginary part of the self-energy of conduction electrons is given by a form proportional to ω²+≤ft(π T)² which is due to the intersite correlation effects. In the multichannel case, we find a T-linear term in the imaginary part of the self-energy at the Fermi level, in contrast to a T²-term in the Fermi liquid or a constant term in the non-Fermi liquid found in infinite dimensions. The disappearance of the imaginary part at T=0 is due to the intersite correlation effects that reflect the translational invariance. The results are compared with those obtained in infinite dimensions. The Luttinger sum rule is proved to hold.